MAT 206 SEC 5001 Tu Syllabus Fall 2018 BMCC Dawes PDF

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iTS A DAMN SYLLABUS...

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BOROUGH OF MANHATTAN COMMUNITY COLLEGE City University of New York

Department of Mathematics Title of Course: Precalculus Course: MAT 206 SEC 5001 Tu Semester: Fall 2018 Credits: 4

Class hours: 4 Lab hours (if applicable): Instructor: Dr. Dale Dawes Tel#: (347) 313-8395 / (212) 346-8567 Office: N586 Email: [email protected]

Course Description: This course covers basic algebraic and trigonometric skills, graphing algebraic and transcendental functions and Analytic Trigonometry

Prerequisites/Co-requisites: Intermediate Algebra and Trigonometry (MAT 056) or the equivalent with the departmental approval.

Student Learning Outcomes: 1) Students will be able to graph, interpret, and analyze linear, quadratic, and other higher order polynomial functions. 2) Students will understand quadratic and rational functions and the properties associated with their graphs. 3) Students will be familiar with transcendental functions, their respective graphs, and properties. 4) Students will be able to verify trigonometric identities and solve trigonometric equations.

Required Text: Precalculus, eight edition; Roland E. Larson & Robert P. Hostetler; Houghton Mifflin Company, Boston, Massachusetts, 2011

Other Resources: WebAssign Evaluation & Requirements of Students: At the beginning of the semester, the instructor will advise the student of the determination of the final grade, which will be based on class work, tests, and the final examination. Students are required to attend all scheduled classes.

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Math Lab Use: The Math Lab is located in S511. You will need a valid BMCC student ID to visit the Math Lab. Tutors are available in the Math Lab for free to all BMCC students. The Math Lab has worksheets with practice problems in stock, as well as computer- and video-based tutoring. Use of Technology: All students are required to use the WebAssign online courseware system. It contains videos, homework problems, chapter tests and quizzes, step-by-step help, an online version of the textbook, and more. Students can access the online courseware only by buying a new textbook that contains a student access card or by buying a separate access code from the bookstore or the publisher (at www.webassign.net). Steps to register for WebAssign: 1. Have your access code card ready if you have already purchased it or a credit card/debit card available if you want tso purchase access online. 2. The Class Key is bmcc.cuny 9851 0455 3. Go to https://www.webassign.net/v4cgi/selfenroll/classkey.html 4. Enter the Class Key and then click submit. The screen looks like this

This is only an example. Make sure you use the Class Key given to you by your instructor. 5. On the next page, verify the course, section and instructor by choosing “Yes, this is my class,” 6. After verifying your class’ information, you will see two options: • “I need to create a WebAssign account.” • “I already have a WebAssign account.” If you choose “I need to create a WebAssign account,” move to step 7. If you choose “I already have a WebAssign account” then sign in (institution: bmcc.cuny). If you don’t remember your password then open a new tab or window and go to https://www.webassign.net/login.html?password=forgot to recover it. If you need help recovering your username then send an email with your full name, contact information and previous instructor to [email protected] • The subject line should read: MAT 051 WebAssign Username Request/ John Doe. 7. Create your own password and username. It can be any username and password that you want. Enter the email address you use regularly (it does not have to be your BMCC email address). Write this username and password in a safe place. Username: ________________ Password: ________________ From now on, you will get in by going to www.webassign.net and clicking enter your username, the institution (bmcc.cuny) and password in the ACCOUNT LOG IN section. 8. After logging in you may see a notice that includes Grace Period information and payment options. You can “register a code number if you have an Access Code card” or “you can buy an Access Code online via a credit card, debit card or Pay Pal account”. After the Grace Period you will see the payment options and not be able to continue without entering an Access Code.

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Outline of Topics: TOPICS

TEXT PAGES

REVIEW OF FUNDAMENTAL CONCEPTS OF ALGEBRA (Appendix A)

A.1 Real Numbers and Their Properties A.2 Exponents and Radicals (OPTIONAL: Exponents & the Calculator) A.5 Solving Equations A.6 Solving Inequalities in One Variable

A1 – A10 A11 – A22 A46 – A59 A60 – A69

FUNCTIONS AND THEIR GRAPHS

1.1 Rectangular Coordinates 1.2 Graphs of Equations 1.3 Linear Equations in Two Variables 1.4 Functions 1.5 Analyzing Graphs of Functions 1.6 A Library of Parent Functions 1.7 Transformations of Functions 1.8 Combinations of Functions: Composite Functions 1.9 Inverse Functions 1.0 Mathematical Modeling and Variation

2 - 13 4 – 24 25 – 39 40 – 53 54 – 65 66 – 73 74 – 83 84 – 92 93 – 102 103 – 114

POLYNOMIAL AND RATIONAL FUNCTIONS

2.1 2.2 2.3 2.4 2.5 2.6 7.4

Quadratic Functions Polynomial Functions of Higher Degree Polynomial and Synthetic Division Complex Numbers Zeros of Polynomial Functions Rational Functions Partial Fractions

128 – 138 139 – 152 153 – 161 162 - 168 169 - 183 184 - 196 533 – 538

EXPONENTIAL AND LOGARITHMIC FUNCTIONS

3.1 3.2 3.3 3.4

Exponential Functions and Their Graphs Logarithmic Functions and Their Graphs Properties of Logarithms Exponential and Logarithmic Equations

218 – 228 229 – 238 239 – 245 246 – 256

TRIGONOMETRY

4.1 Radian and Degree Measure 4.2 Trigonometric Functions: The Unit Circle 4.3 Right Triangle Trigonometry 4.4 Trigonometric Functions of Any Angle 4.5 Graphs of Sine and Cosine Functions 4.6 Graphs Other Trigonometric Functions 4.7 Inverse Trigonometric Functions

282 – 293 294 – 300 301 - 311 312 – 320 321 – 331 332 – 342 343 – 352 3

TOPICS (continued)

TEXT PAGES

ANALYTIC TRIGONOMETRY

5.1 5.2 5.3 5.4

Using Fundamental Identities Verifying Trigonometric Identities Solving Trigonometric Equations Sum and Difference Formulas

374 – 381 382 – 388 389 – 399 400 - 406

College Attendance Policy At BMCC, the maximum number of absences is limited to one more hour than the number of hours a class meets in one week. For example, you may be enrolled in a three-hour class. In that class, you would be allowed 4 hours of absence (not 4 days). In the case of excessive absences, the instructor has the option to lower the grade or assign an F or WU grade. Academic Adjustments for Students with Disabilities Students with disabilities who require reasonable accommodations or academic adjustments for this course must contact the Office of Services for Students with Disabilities. BMCC is committed to providing equal access to all programs and curricula to all students. BMCC Policy on Plagiarism and Academic Integrity Statement Plagiarism is the presentation of someone else’s ideas, words or artistic, scientific, or technical work as one’s own creation. Using the idea or work of another is permissible only when the original author is identified. Paraphrasing and summarizing, as well as direct quotations, require citations to the original source. Plagiarism may be intentional or unintentional. Lack of dishonest intent does not necessarily absolve a student of responsibility for plagiarism. Students who are unsure how and when to provide documentation are advised to consult with their instructors. The library has guides designed to help students to appropriately identify a cited work. The full policy can be found on BMCC’s web side, www.bmcc.cuny.edu. For further information on integrity and behavior, please consult the college bulletin (also available online).

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